LB, MC, ?, OG, PK
Letter Series Pattern Analysis: LB, MC, ?, OG, PK
The given series is a sequence of letter pairs: LB, MC, ?, OG, PK. We need to find the missing pair by identifying the pattern.
First Letter Progression
Let's examine the first letter of each pair based on their alphabetical positions:
- L is the 12th letter.
- M is the 13th letter.
- O is the 15th letter.
- P is the 16th letter.
The sequence of positions is 12, 13, ?, 15, 16. This is a simple arithmetic progression with a common difference of 1. The missing position is 14, which corresponds to the letter 'N'.
Using LaTeX notation: $L(12) \xrightarrow{+1} M(13) \xrightarrow{+1} \mathbf{N}(14) \xrightarrow{+1} O(15) \xrightarrow{+1} P(16)$
Second Letter Progression
Now, let's examine the second letter of each pair based on their alphabetical positions:
- B is the 2nd letter.
- C is the 3rd letter.
- G is the 7th letter.
- K is the 11th letter.
The sequence of positions is 2, 3, ?, 7, 11. This sequence corresponds to the first five prime numbers: 2, 3, 5, 7, 11.
The missing position is the 3rd prime number, which is 5. The 5th letter of the alphabet is 'E'.
Using LaTeX notation for prime numbers ($p_n$): $B(p_1=2) \rightarrow C(p_2=3) \rightarrow \mathbf{E}(p_3=5) \rightarrow G(p_4=7) \rightarrow K(p_5=11)$
Determining the Missing Term
Combining the patterns:
- The first letter is N (14th position).
- The second letter is E (5th position, the 3rd prime number).
Therefore, the missing term in the series is NE.
Similar Questions
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